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Finding the Third Proportional to 20,194.75 and 33,540.75

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Solution

The third proportional to 20,194.75 and 33,540.75 is: 55,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.75 : 33,540.75 = 33,540.75 : x
  2. Step 2: Convert to fraction form
    20,194.75/33,540.75 = 33,540.75/x
  3. Step 3: Cross multiply
    20,194.75x = 33,540.75 × 33,540.75
  4. Step 4: Simplify right side
    20,194.75x = 1,124,981,910.56
  5. Step 5: Solve for x
    x = 1,124,981,910.56/20,194.75
  6. Step 6: Final answer
    x = 55,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.